{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 第一题：支持向量机的核函数\n",
    "\n",
    "实验内容：\n",
    "\n",
    "1. 了解核函数对SVM的影响\n",
    "2. 绘制不同核函数的决策函数图像\n",
    "3. 简述引入核函数的目的"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. 导入模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from matplotlib.colors import ListedColormap\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 引入数据集\n",
    "from sklearn.datasets import make_moons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 引入数据预处理工具\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 引入支持向量机分类器\n",
    "from sklearn.svm import SVC"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. 生成数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = make_moons(n_samples = 100, noise = 0.3, random_state = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2c8143b0700>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (8, 8))\n",
    "cm_bright = ListedColormap(['#FF0000', '#0000FF'])\n",
    "plt.scatter(X[:, 0], X[:, 1], c = y, cmap = cm_bright, edgecolors = 'k')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. 数据预处理与划分"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = StandardScaler().fit_transform(X)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=.4, random_state=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "训练集和测试集可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2c81442a640>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm = plt.cm.RdBu\n",
    "cm_bright = ListedColormap(['#FF0000', '#0000FF'])\n",
    "plt.figure(figsize = (8, 8))\n",
    "plt.title(\"Input data\")\n",
    "\n",
    "# Plot the training points\n",
    "plt.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=cm_bright, edgecolors='k')\n",
    "\n",
    "# and testing points\n",
    "plt.scatter(X_test[:, 0], X_test[:, 1], c=y_test, cmap=cm_bright, alpha=0.5, edgecolors='k')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. 样本到分离超平面距离的可视化"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们使用SVM模型里面的decision_function方法，可以获得样本到分离超平面的距离。\n",
    "\n",
    "下面的函数将图的背景变成数据点，计算每个数据点到分离超平面的距离，映射到不同深浅的颜色上，绘制出了不同颜色的背景。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_model(model, title):\n",
    "    \n",
    "    # 训练模型，计算精度\n",
    "    model.fit(X_train, y_train)\n",
    "    score_train = model.score(X_train, y_train)\n",
    "    score_test = model.score(X_test, y_test)\n",
    "    \n",
    "    # 将背景网格化\n",
    "    h = 0.02\n",
    "    x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n",
    "    y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n",
    "    xx, yy = np.meshgrid(np.arange(x_min, x_max, h),\n",
    "                         np.arange(y_min, y_max, h))\n",
    "    \n",
    "    # 计算每个点到分离超平面的距离\n",
    "    Z = model.decision_function(np.c_[xx.ravel(), yy.ravel()]).reshape(xx.shape)\n",
    "    \n",
    "    # 设置图的大小\n",
    "    plt.figure(figsize = (14, 6))\n",
    "    \n",
    "    # 绘制训练集的子图\n",
    "    plt.subplot(121)\n",
    "    \n",
    "    # 绘制决策边界\n",
    "    plt.contourf(xx, yy, Z, cmap = cm, alpha=.8)\n",
    "\n",
    "    # 绘制训练集的样本\n",
    "    plt.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=cm_bright, edgecolors='k')\n",
    "    \n",
    "    # 设置图的上下左右界\n",
    "    plt.xlim(xx.min(), xx.max())\n",
    "    plt.ylim(yy.min(), yy.max())\n",
    "    \n",
    "    # 设置子图标题\n",
    "    plt.title(\"training set\")\n",
    "    \n",
    "    # 图的右下角写出在当前数据集中的精度\n",
    "    plt.text(xx.max() - .3, yy.min() + .3, ('acc: %.3f' % score_train).lstrip('0'), size=15, horizontalalignment='right')\n",
    "    \n",
    "    plt.subplot(122)\n",
    "    plt.contourf(xx, yy, Z, cmap = cm, alpha=.8)\n",
    "    \n",
    "    plt.scatter(X_test[:, 0], X_test[:, 1], c=y_test, cmap=cm_bright, edgecolors='k', alpha=0.6)\n",
    "    \n",
    "    plt.xlim(xx.min(), xx.max())\n",
    "    plt.ylim(yy.min(), yy.max())\n",
    "    \n",
    "    plt.title(\"testing set\")\n",
    "\n",
    "    plt.text(xx.max() - .3, yy.min() + .3, ('acc: %.3f' % score_test).lstrip('0'), size=15, horizontalalignment='right')\n",
    "\n",
    "    plt.suptitle(title)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们尝试绘制线性核的分类效果图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_model(SVC(kernel = \"linear\", probability = True), 'Linear SVM')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 作业1：请你尝试使用其他的核函数，绘制分类效果图"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. 高斯核，又称径向基函数(Radial Basis Function)，指定kernel为\"rbf\"即可"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# YOUR CODE HERE\n",
    "plot_model(SVC(kernel = \"rbf\", probability = True), 'Linear SVM')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. sigmoid核，指定kernel为\"sigmoid\"即可"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# YOUR CODE HERE\n",
    "plot_model(SVC(kernel = \"sigmoid\", probability = True), 'Linear SVM')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. 多项式核，指定kernel为\"poly\"即可"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# YOUR CODE HERE\n",
    "plot_model(SVC(kernel = \"poly\", probability = True), 'Linear SVM')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 作业2：简述为什么要引入核函数？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 若不存在一个能正确划分两类样本的超平面，则需要将样本从原始空间映射到一个更高维的特征空间，使得样本在这个特征空间内线性可分。在核支持向量机中的分类模型中，只以向量内积的形式出现"
   ]
  }
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